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Principles of Mathematics 11 Answer Key, Contents 263 Module 3: Answer Key Section 1: Geometry Lesson 1 Vocabulary of Circles 265 Lesson 2 Geometry of Circles and Chords 267 Lesson 3 Angles and Arcs of a Circle 273 Lesson 4 Properties of Tangents 281 Lesson 5 Exploring Polygons 287 Review 291 Section 2: Trigonometry Lesson 1 The Trigonometric Ratios of Angles 0°≤ θ ≤ 360° 295 Lesson 2 Related Angles and Solving Trigonometric Equations of Linear Form 301 Lesson 3 Solving Triangles 307 Lesson 4 The Ambiguous Case 313 Review 223 Section 3: Analytic Geometry I Lesson 1 Circle 329 Lesson 2 Distance Between Points and Lines 337 Lesson 3 Systems of Linear Equations 345 Lesson 4 Solving Systems of Equations Algebraically 351 Lesson 5 Systems of Equations Containing Three Variables 363 Section 4: Analytic Geometry II Lesson 1 Applications of Systems 369 Lesson 2 Non-Linear Systems 375 Module 3 264 Answer Key, Contents Principles of Mathematics 11 Lesson 3 Graphing Linear Inequalities 389 Lesson 4 Quadratic, Rational, and Absolute Value Inequalities in Two Variables 399 Lesson 5 Verifying and Proving Assertions in Coordinate Geometry 415 Review 423 Module 3 Principles of Mathematics 11 Section 1, Answer Key, Lesson 1 265 Lesson 1 Answer Key 1. a)AC b)∠∠∠∠∠AOE, EOD, DOC, AOD, COE ¼¼ ¼ c)ABC, AEC, or ADC suur d)AB e)AB, AD, BE, AC, BD » » ¼ » » » » » » f)AB, AE, AD, DE, CD, BD, CE, BE, BC g)∠∠∠∠∠∠∠EBD, ABD, BAD, ABE, DAC,CAB, ADB ¼¼¼¼¼¼¼¼¼ h)BCA, ABE, ABD, EBD, DAC, BAD, CBE, BCE, BEC 2. a) E E D D O l l G G F F E E D D O l l O G G F F Module 3 266 Section 1, Answer Key, Lesson 1 Principles of Mathematics 11 b) E E D D O l l G G F F E E D D l l G G F F c) Ð DOE, Ð EOG, Ð FOG, Ð DOF d) Ð DEF, Ð DGF, Ð EDG, Ð EFG e) B, C f) i) the interior region bounded by chord DE and minor arc DE ii) the interior region bounded by chord FG and minor arc FG g) AB,AC Module 3
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